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Simplifying 8(3r + 4) + -15 = 3(4r + 39) Reorder the terms: 8(4 + 3r) + -15 = 3(4r + 39) (4 * 8 + 3r * 8) + -15 = 3(4r + 39) (32 + 24r) + -15 = 3(4r + 39) Reorder the terms: 32 + -15 + 24r = 3(4r + 39) Combine like terms: 32 + -15 = 17 17 + 24r = 3(4r + 39) Reorder the terms: 17 + 24r = 3(39 + 4r) 17 + 24r = (39 * 3 + 4r * 3) 17 + 24r = (117 + 12r) Solving 17 + 24r = 117 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 17 + 24r + -12r = 117 + 12r + -12r Combine like terms: 24r + -12r = 12r 17 + 12r = 117 + 12r + -12r Combine like terms: 12r + -12r = 0 17 + 12r = 117 + 0 17 + 12r = 117 Add '-17' to each side of the equation. 17 + -17 + 12r = 117 + -17 Combine like terms: 17 + -17 = 0 0 + 12r = 117 + -17 12r = 117 + -17 Combine like terms: 117 + -17 = 100 12r = 100 Divide each side by '12'. r = 8.333333333 Simplifying r = 8.333333333
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